Results 21 to 30 of about 22,180 (168)
Further investigations on a question of Zhang and Lü
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015 In the paper taking the question of Zhang and Lü [15] into background, wepresent one theorem which will improve and extend results of Banerjee-Majumdar [2] and arecent result of Li-Huang [9].
Abhijit Banerjee, Bikash Chakraborty
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Some exactly solvable models of urn process theory [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We establish a fundamental isomorphism between discrete-time balanced urn processes and certain ordinary differential systems, which are nonlinear, autonomous, and of a simple monomial form.
Philippe Flajolet +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2018 Study of the growth analysis of entire or meromorphic functions has generally been done through their Nevanlinna's characteristic function in comparison with those of exponential function.
T. Biswas
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Structure theorems for linear and non-linear differential operators admitting invariant polynomial subspaces [PDF]
, 2006 In this paper we derive structure theorems that characterize the spaces of linear and non-linear differential operators that preserve finite dimensional subspaces generated by polynomials in one or several variables.
Gomez-Ullate, David +2 more
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Classical planar algebraic curves realizable by quadratic polynomial differential systems [PDF]
, 2017 In this paper we show planar quadratic polynomial differentialsystems exhibiting as solutions some famous planar invariant algebraic curves. Also we put particular attention to the Darboux integrability of these differential systems.The author is ...
García, I. A. (Isaac A.), Llibre, Jaume
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A Note on the value distribution of a differential monomial and some normality criteria [PDF]
Rendiconti del Circolo Matematico di Palermo Series 2, 2021 In this paper, we prove some value distribution results which lead to some normality criteria for a family of analytic functions. These results improve some recent results.
Sudip Saha, Bikash Chakraborty
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Quasi-Exact Solvability and the direct approach to invariant subspaces [PDF]
, 2004 We propose a more direct approach to constructing differential operators that preserve polynomial subspaces than the one based on considering elements of the enveloping algebra of sl(2).
Arscott F M +20 more
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Rota-Baxter operators on the polynomial algebras, integration and averaging operators [PDF]
, 2014 The concept of a Rota–Baxter operator is an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota–Baxter operators and integrals in the case of the polynomial algebra k[x] k[x] .
Birkhoff +6 more
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Uniqueness of Meromorphic Functions Concerning Differential Monomials
Applied Mathematics, 2011 Considering the uniqueness of meromorphic functions concerning differential monomials ,we obtain that, if two non-constant meromorphic functions f(z) and g(z) satisfy ,where k and n are tow positive integers satisfying k ≥ 3 and n ≥ 11 , then either where c1, c2, c, are three constants, satisfying (c1 c2)n+1c>n+1=- 1 or f = tg for a constant t such ...
Hui Huang, Bin Huang
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On certain non-linear differential monomial sharing non-zero polynomial
Ukrains’kyi Matematychnyi Zhurnal, 2021 UDC 517.5 With the idea of normal family we study the uniqueness of meromorphic functions and when and share two values, where and is a polynomial. The obtained result significantly improves and generalizes the result in [A. Banerjee, S. Majumder, <em>On certain non-linear differential polynomial sharing a non-zero polynomial</em> ...
S. Majumder, A. Dam
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